# Super Modified Combination Sum

Algebra Level 3

$\large\displaystyle \sum_{k=1}^{504} \left ( 4k-1 \right ) \binom{2015}{4k-1}$

If the sum above can be written as $$p.q^{r}$$, where $$p$$, $$q$$ and $$r$$ are positive integers with $$q$$ being a prime.

Evaluate $$p+q+r$$.

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